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Finding the Third Proportional to 45,320 and 96,142

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Solution

The third proportional to 45,320 and 96,142 is: 203,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,320 : 96,142 = 96,142 : x
  2. Step 2: Convert to fraction form
    45,320/96,142 = 96,142/x
  3. Step 3: Cross multiply
    45,320x = 96,142 × 96,142
  4. Step 4: Simplify right side
    45,320x = 9,243,284,164
  5. Step 5: Solve for x
    x = 9,243,284,164/45,320
  6. Step 6: Final answer
    x = 203,955.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.